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Volume 10, Issue 1, Article 24 |
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Approximation of a Mixed Functional Equation in Quasi-Banach Spaces
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Authors: |
Abbas Najati, G. Zamani Eskandani, |
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Keywords:
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Generalized Hyers-Ulam stability, additive function, cubic function, quasi-Banach space, $p$-Banach space. |
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Date Received:
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17/08/08 |
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Date Accepted:
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07/02/09 |
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Subject Codes: |
Pri: 39B72, 46B03, 47Jxx.
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Editors: |
Themistocles M. Rassias, |
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Abstract: |
In this paper we establish the general solution of the functional equation and investigate its generalized Hyers-Ulam stability in quasi-Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th.M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
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![$displaystyle f(2x+y)+f(x+2y)=6f(x+y)+f(2x)+f(2y)-5[f(x)+f(y)]$](images/233_08_JIPAM/img1.gif){kind=small}
